Access to File Server without VPN

[Dean Gross]

With all of the new and improved feature of Azure AD and its associated services, can anyone tell me if it is possible to access/open a file from an on-premises file server without using VPN?
The exact use case involves a user performing a search in SPOnline that displays on-premises results (a hybrid search) and then being able to open the file without making a VPN connection.  

[#2 · Accepted solution]

While it's probably not exactly what you're looking for, wouldn't DirectAccess address this so the user doesn't have to make a VPN connection?

[#3]

Thanks for the suggestion, I had forgotten about this option. I have refreshed my memory and I'm going to present it to my client.